scientific article; zbMATH DE number 7406308

zbMath1488.05014MaRDI QIDQ5154531

Yilmaz Simsek

Publication date: 5 October 2021

Full work available at URL: https://dergipark.org.tr/en/pub/hujms/issue/39860/471066

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

beta functiongamma functiongenerating functionsfunctional equationsCatalan numbersYoung inequalityharmonic numberscombinatorial sumsBernstein basis functionsbinomial identitiesbeta polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Real polynomials: location of zeros (26C10) Real polynomials: analytic properties, etc. (26C05) Character groups and dual objects (43A40)

Related Items (8)

New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums ⋮ On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays ⋮ Computational identities for extensions of some families of special numbers and polynomials ⋮ Generating functions for series involving higher powers of inverse binomial coefficients and their applications ⋮ A note on the difference of powers and falling powers ⋮ Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers ⋮ Unnamed Item ⋮ Some new identities and formulas for higher-order combinatorial-type numbers and polynomials

Cites Work

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